Finding the Fourth Proportional to 10,421.84, 14,382.18 and 5,706.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.84 : 14,382.18 = 5,706.08 : x
2. Step 2: Convert to fraction form
   10,421.84/14,382.18 = 5,706.08/x
3. Step 3: Cross multiply
   10,421.84x = 14,382.18 × 5,706.08
4. Step 4: Simplify right side
   10,421.84x = 82,065,869.65
5. Step 5: Solve for x
   x = 82,065,869.65/10,421.84
6. Step 6: Final answer
   x = 7,874.41